June 2019 Exponential mixing for SPDEs driven by highly degenerate Lévy noises
Xiaobin Sun, Yingchao Xie, Lihu Xu
Illinois J. Math. 63(1): 75-102 (June 2019). DOI: 10.1215/00192082-7600360

Abstract

By modifying a coupling method developed by the third author with much more delicate analysis, we prove that a family of stochastic partial differential equations (SPDEs) driven by highly degenerate pure jump Lévy noises are exponential mixing. These pure jump Lévy noises include a finite dimensional α-stable process with α(0,2).

Citation

Download Citation

Xiaobin Sun. Yingchao Xie. Lihu Xu. "Exponential mixing for SPDEs driven by highly degenerate Lévy noises." Illinois J. Math. 63 (1) 75 - 102, June 2019. https://doi.org/10.1215/00192082-7600360

Information

Received: 26 April 2018; Revised: 1 February 2019; Published: June 2019
First available in Project Euclid: 29 May 2019

zbMATH: 07064387
MathSciNet: MR3959868
Digital Object Identifier: 10.1215/00192082-7600360

Subjects:
Primary: 60H15
Secondary: 35R60 , 47D07 , 60J75

Rights: Copyright © 2019 University of Illinois at Urbana-Champaign

Vol.63 • No. 1 • June 2019
Back to Top